(a)
To plot: The graph of the parametric equations, find initial and terminal points and indicate the direction in which the curve is traced.
(a)
Answer to Problem 46E
The graph of the parametric equations is shown in figure (1), there is no initial and terminal point.
Explanation of Solution
Given information: The equations are
Calculation:
Use the following step to graph the parametric equations by graphing calculator.
Step 1: First press the “ON” button graphical calculator.
Step 2: Press the
Step 2: Press
Step 3: Press
Figure (1)
There are no initial and terminal points because
Therefore, the graph of the parametric equations is shown in figure (1), there is no initial and terminal point.
(b)
To find: The Cartesian equation for a curve that contains the parameterized curve and the portion of the graph of the Cartesian equation that is traced by the parameterized curve.
(b)
Answer to Problem 46E
The Cartesian equation for a curve that contains the parameterized curve is
Explanation of Solution
Given information: The equations are
Calculation:
Rewrite the equation
Subtract the equations
The parameterized curve traces the lower branch of the hyperbola defined by
Therefore, the Cartesian equation for a curve that contains the parameterized curve is
Chapter 1 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus & Its Applications (14th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Calculus and Its Applications (11th Edition)
Precalculus (10th Edition)
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